and \(\mathrm {q}:G\rightarrow G/H\)  is the canonical map given by \(\mathrm {q}(x):=xH\)  for \(x\in G\) . Using continuity of the canonical map \(\mathrm {q}:G\rightarrow G/H\) , one can deduce that \(\mathcal {C}_c(G)\subseteq \mathcal {C}_c(G|H)\) . It is shown that the linear operator \(T_\xi \)  maps \(\mathcal {C}_c(G)\)  onto \(M_\xi (G,H)\) , see Proposition 6.1 of [1]}.
